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Finding the Fourth Proportional to 30,970.56, 46,468.32 and 12,504

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Solution

The fourth proportional to 30,970.56, 46,468.32 and 12,504 is: 18,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.56 : 46,468.32 = 12,504 : x
  2. Step 2: Convert to fraction form
    30,970.56/46,468.32 = 12,504/x
  3. Step 3: Cross multiply
    30,970.56x = 46,468.32 × 12,504
  4. Step 4: Simplify right side
    30,970.56x = 581,039,873.28
  5. Step 5: Solve for x
    x = 581,039,873.28/30,970.56
  6. Step 6: Final answer
    x = 18,761.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.